All categories

2 years ago

Point h is between g and i. If gh = 2x2 + 7x, hi = 9x – 2, and gi = 38, find the length of gh, hi and the possible values of x.

1 answer:

4 0

2x²+7x+9x-2=38
2x²+16x-40=0
2(x²+8x-20)=0
2(x+10)(x-2)=0
x=-10 or x=2
if we let x=-10 we get negative lengths for some of the segments which is not allowed so discard it. for x=2,

gh=22, hi=16, and gi=38

You might be interested in

When 3x+2≤5(x-4) is solved for x, the solution is?

Alina [70]

Answer: #4 x >l 11

Hope this helps

Step-by-step explanation:

6 0

1 year ago

Part B

Katarina [22]

Answer:

They would be perpendicular to each other.

One would have a slope of 0 (horizontal line) and the other would have an undefined slope (vertical line)

Step-by-step explanation:

3 0

2 years ago

What is the area of a parallelogram with a base of 2.5 cm and a height of 6 cm?

zloy xaker [14]

2.5 multiplied by 6 = 15

15 square centimeters

6 0

2 years ago

Rendering math...While solving an equation, Wayra made some mistakes. Her solution is given below. Please help her to identify t

solong [7]

Answer:

According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.

She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z

Step-by-step explanation:

Given the equation solved by Wayra expressed as;

Step 1: 13(z+6) = 4(z-3)-5z

She is find the value of z from the equation;

Step 2: Open the parenthesis using the distributive property;

13(z+6) = 4(z-3)-5z

13z + 13(6) = 4z - 4(3) - 5z

13z + 78 = 4z - 12 - 5z

Step 3: Simplify

13z + 78 = 4z - 5z - 12

13z + 78 = -z -12

Step 4: Collect the like terms;

13z + z = -12 - 78

Step 5: Simplify the result

14z = -90

Step 6: Divide both sides by 14

14z/14 = -90/14

z = 6.428

According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.

She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z

5 0

1 year ago

If all sides of a triangle are congruent then all sides of a triangle are congruent....write the given and proof

Svetradugi [14.3K]

Step-by-step explanation:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

8 0

2 years ago